Finite Group Databasebeta

← #11025531

Subgroups — #11025531

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5660C211yesmaximal, characteristic, complemented
2C22×#878C211yesmaximal, characteristic, complemented
3C3×#2418C211yesmaximal, characteristic, complemented
4#82871C211yesmaximal, characteristic, complemented
5#82602C211yesmaximal, characteristic, complemented
6#82586C211yesmaximal, characteristic
7#82349C211yesmaximal, characteristic, complemented
8#82340C211yesmaximal, characteristic, complemented
9#82128C211yesmaximal, characteristic, complemented
10#78104C211yesmaximal, characteristic, complemented
11#78068C211yesmaximal, characteristic, complemented
12#77571C211yesmaximal, characteristic, complemented
13#77546C211yesmaximal, characteristic, complemented
14#77017C211yesmaximal, characteristic, complemented
15#77005C211yesmaximal, characteristic, complemented
16#76998C211yesmaximal, characteristic, complemented
17#76954C211yesmaximal, characteristic, complemented
18#75705C211yesmaximal, characteristic, complemented
19#75670C211yesmaximal, characteristic, complemented
20#75599C211yesmaximal, characteristic, complemented
21#75463C211yesmaximal, characteristic, complemented
22#74900C211yesmaximal, characteristic, complemented
23#74830C211yesmaximal, characteristic, complemented
24#74737C211yesmaximal, characteristic, complemented
25#74702C211yesmaximal, characteristic, complemented
26#74443C211yesmaximal, characteristic, complemented
27#74405C211yesmaximal, characteristic, complemented
28#74010C211yesmaximal, characteristic, complemented
29#73908C211yesmaximal, characteristic, complemented
30#73831C211yesmaximal, characteristic, complemented
31#73818C211yesmaximal, characteristic, complemented
32#37721—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#938C2211yescharacteristic
43C2×#935C2211yescharacteristic
44C2×#935C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic, complemented
47C22×C4⋊Dic3C2211yescharacteristic
48C2×#924C2211yescharacteristic, complemented
49C2×#924C2211yescharacteristic, complemented
50C22×Dic3⋊C4C2211yescharacteristic
51C22×Dic3⋊C4C2211yescharacteristic
52#5660—28no—
53C2×#896C2211yescharacteristic, complemented
54C2×#896C2211yescharacteristic, complemented
55C2×D3×C4⋊C4C2211yescharacteristic, complemented
56C2×#890C2211yescharacteristic, complemented
57C2×#889C2211yescharacteristic, complemented
58C2×#883C2211yescharacteristic
59C2×#883C2211yescharacteristic, complemented
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#879C2211yescharacteristic
65C2×#879C2211yescharacteristic, complemented
66C2×#878—28no—
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C3×#399C2211yescharacteristic
76C3×#397C2211yescharacteristic
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic
79C3×#388C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#380C2211yescharacteristic
85C3×#379C2211yescharacteristic
86#5247C2211yescharacteristic
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89#5221C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5213C2211yescharacteristic
96#5212C2211yescharacteristic
97#5210C2211yescharacteristic
98#5210C2211yescharacteristic, complemented
99#4989C2211yescharacteristic, complemented
100#4987C2211yescharacteristic, complemented
101#4983C2211yescharacteristic, complemented
102#4982C2211yescharacteristic, complemented
103#4982C2211yescharacteristic, complemented
104#4981C2211yescharacteristic, complemented
105#4979C2211yescharacteristic, complemented
106#4979C2211yescharacteristic, complemented
107#4979C2211yescharacteristic, complemented
108#4979C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic, complemented
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4958C2211yescharacteristic
121#4957C2211yescharacteristic, complemented
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4953C2211yescharacteristic
125#4953C2211yescharacteristic, complemented
126#4952C2211yescharacteristic
127#4952C2211yescharacteristic
128#4952C2211yescharacteristic
129#4951C2211yescharacteristic
130#4951C2211yescharacteristic
131#4951C2211yescharacteristic, complemented
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4949C2211yescharacteristic
135#4949C2211yescharacteristic, complemented
136#4948C2211yescharacteristic
137#4948C2211yescharacteristic
138#4948C2211yescharacteristic, complemented
139#4947C2211yescharacteristic, complemented
140#4947C2211yescharacteristic, complemented
141#4946C2211yescharacteristic
142#4946C2211yescharacteristic
143#4946C2211yescharacteristic
144#4946C2211yescharacteristic
145#4946C2211yescharacteristic
146#4946C2211yescharacteristic
147#4946C2211yescharacteristic
148#4946C2211yescharacteristic
149#4945C2211yescharacteristic
150#4945C2211yescharacteristic
151#4945C2211yescharacteristic, complemented
152#4944C2211yescharacteristic
153#4944C2211yescharacteristic
154#4944C2211yescharacteristic, complemented
155#4943C2211yescharacteristic
156#4943C2211yescharacteristic
157#4942C2211yescharacteristic
158Dic3×C22⋊C4C2211yescharacteristic
159Dic3×C22⋊C4C2211yescharacteristic
160Dic3×C22⋊C4C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic
162#4940C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164#4929C2211yescharacteristic, complemented
165#4929C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4673C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4661C2211yescharacteristic, complemented
173#4660C2211yescharacteristic, complemented
174#4660C2211yescharacteristic, complemented
175#4659C2211yescharacteristic, complemented
176#4658C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×C22⋊Q8—31no—
192#2849—31no—
193#2732—31no—
194#2728—31no—
195#2720—31no—
196#2696—31no—
197#2689—31no—
198#2687—31no—
199#2681—31no—
200#2680—31no—
201#2663—31no—
202#2638—31no—
203#2560—31no—
204#2556—31no—
205#2481—31no—
206#2480—31no—
207#2473—31no—
208#2473—31no—
209#2463—31no—
210#2449—31no—
211#2443—31no—
212#2424—31no—
213#2418—31no—
214#2418D311yescharacteristic, complemented
215#2409—31no—
216#2409—31no—
217#2361—31no—
218D4×C4⋊C4—31no—
219#2332—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3—24no—
233C23×Dic3—42no—
234C23×Dic3—42no—
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×Dic6—24no—
247C22×Dic6—42no—
248C22×Dic6—42no—
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—24no—
254C3×#120—42no—
255C3×C4×D4—42no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4—24no—
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279#953—24no—
280C2×#217—24no—
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#939—24no—
302#938—24no—
303#935—24no—
304#935—42no—
305C4×#67—24no—
306C4×#67—24no—
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×C4⋊Dic3—24no—
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326#924—24no—
327#924—42no—
328C2×Dic3⋊C4—24no—
329C2×Dic3⋊C4—24no—
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#896—24no—
362#896—42no—
363D3×C4⋊C4—24no—
364#890—24no—
365#889—24no—
366#883—24no—
367#883—24no—
368#67⋊C4—24no—
369#67⋊C4—42no—
370#67⋊C4—42no—
371#67⋊C4—42no—
372#879—24no—
373#879—24no—
374#878—24no—
375#878—24no—
376#878—24no—
377#878—24no—
378#878—24no—
379#878—24no—
380#878—24no—
381#878D418yescomplemented
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C23×Q8—31no—
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123C2×D311yescharacteristic
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—68no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120C2×D311yescharacteristic
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4C2×D311yescharacteristic
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4C2×D311yescharacteristic
462#400—31no—
463#400—31no—
464#400—31no—
465#400—31no—
466#399—31no—
467#399—31no—
468#399C2×D311yescharacteristic
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397C2×D311yescharacteristic
483#396—31no—
484#396—31no—
485#396—31no—
486#395—31no—
487#395—31no—
488#395—31no—
489#395—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394C2×D311yescharacteristic
496#394C2×D311yescharacteristic
497#393—31no—
498#393—31no—
499#393—31no—
500#393—31no—
501#392—31no—
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#390—31no—
507#390—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#389—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388C2×D311yescharacteristic
524#388C2×D311yescharacteristic
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386C2×D311yescharacteristic
544#386C2×D311yescharacteristic
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385C2×D311yescharacteristic
562#384—31no—
563#381—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic
569#379—31no—
570#379C2×D311yescharacteristic
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67#4114yes—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—416no—
654C22×Dic3C2×D414yes—
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×Dic6—22no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—41no—
685C2×Dic6—41no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—416no—
691C2×Dic6C2×D414yes—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—41no—
695C3×C4⋊C4—41no—
696C3×C4⋊C4—41no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4C2×D414yes—
713C3×C42—41no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217C2×D414yes—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750C4⋊Dic3—41no—
751C4⋊Dic3C2×D414yes—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4C2×D414yes—
775Dic3⋊C4C2×D414yes—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—41no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C25C22×D311yescharacteristic
784C22×Q8—31no—
785C22×Q8—31no—
786C22×Q8—31no—
787C22×Q8—31no—
788C22×Q8—64no—
789C22×Q8—122no—
790C22×Q8—122no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—64no—
810C23×C4—122no—
811C23×C4—122no—
812C23×C4C22×D311yescharacteristic
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815#126—64no—
816#126—64no—
817#125—64no—
818#125—64no—
819#123—24no—
820#123—64no—
821#123—64no—
822#123—64no—
823#123—122no—
824C22⋊Q8—38no—
825C22⋊Q8—64no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—122no—
835C22⋊Q8—122no—
836#121—64no—
837#121—64no—
838#120—42no—
839#120—64no—
840C4×D4—42no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—122no—
845C4×D4—122no—
846C4×D4—122no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—64no—
882C2×C4⋊C4—64no—
883C2×C4⋊C4—64no—
884C2×C4⋊C4—64no—
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C22⋊C4—24no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—64no—
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—28no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—44no—
1007C23×C3—44no—
1008C23×C3—44no—
1009C23×C3—44no—
1010C23×C3—44no—
1011C23×C3—44no—
1012C23×C3C22×D412yes—
1013C23×C3C2×#4112yes—
1014C23×C3H(5,𝔽2)12yes—
1015C23×C32−1+412yes—
1016C23×C32−1+412yes—
1017C23×C3C2511yescharacteristic
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3C2×#4112yes—
1025C3×D4—44no—
1026C3×D4—82no—
1027C3×D4—82no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—44no—
1060C2×C3×C4—44no—
1061C2×C3×C4—82no—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C22×D412yes—
1064#67—28no—
1065#67—44no—
1066#67—44no—
1067#67—44no—
1068C2×Dic3—28no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—44no—
1109C2×Dic3—44no—
1110C2×Dic3—44no—
1111C2×Dic3—44no—
1112C2×Dic3—44no—
1113C2×Dic3—44no—
1114C2×Dic3—44no—
1115C2×Dic3C22×D412yes—
1116C2×Dic3C22×D412yes—
1117C2×Dic3C22×D412yes—
1118C2×Dic3C22×D412yes—
1119C2×Dic3C2×#4112yes—
1120C2×Dic3H(5,𝔽2)12yes—
1121C4×D3—44no—
1122C4×D3—82no—
1123C4×D3—82no—
1124Dic6—44no—
1125Dic6—44no—
1126Dic6—44no—
1127Dic6—44no—
1128C24—22no—
1129C24—22no—
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—31no—
1134C24—41no—
1135C24—41no—
1136C24C23×D311yescharacteristic
1137C24C23×D311yescharacteristic
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140C2×Q8—34no—
1141C2×Q8—62no—
1142C2×Q8—62no—
1143C2×Q8—62no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—121no—
1147C2×Q8—121no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—1216no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—34no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—34no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—1216no—
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—34no—
1246C4⋊C4—34no—
1247C4⋊C4—34no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—34no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4D3×D414yes—
1326C42—41no—
1327C42—62no—
1328C42—62no—
1329C42—62no—
1330C42—121no—
1331C42—121no—
1332C42—121no—
1333C42—121no—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—22no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—416no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3#53914yescomplemented
1363C22×C3C23×D411yescharacteristic
1364C22×C3C22×#4111yescharacteristic
1365C22×C3C2×H(5,𝔽2)11yescharacteristic
1366C22×C3C2×H(5,𝔽2)11yescharacteristic
1367C22×C3C2×2−1+411yescharacteristic
1368C22×C3C2×2−1+411yescharacteristic
1369C22×C3#58511yescharacteristic
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—22no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—28no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—32no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23C2×D3×D412yes—
1441C23#100412yes—
1442C23D3×#4112yes—
1443C23#101012yes—
1444C23#101012yes—
1445C23C24×D311yescharacteristic
1446Q8—124no—
1447Q8—124no—
1448Q8—124no—
1449Q8—124no—
1450D4—44no—
1451D4—68no—
1452D4—82no—
1453D4—82no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—32no—
1489C2×C4—32no—
1490C2×C4—32no—
1491C2×C4—32no—
1492C2×C4—32no—
1493C2×C4—32no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—68no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—82no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—124no—
1543C2×C4—124no—
1544C2×C4—124no—
1545C2×C4—242no—
1546C2×C4—242no—
1547C2×C4C2×D3×D412yes—
1548C2×C4C2×D3×D412yes—
1549C2×C3—24no—
1550C2×C3—42no—
1551C2×C3—42no—
1552C2×C3—81no—
1553C2×C3C2×#53911yescharacteristic
1554C2×C3D4×#4111yescharacteristic
1555C2×C3#348411yescharacteristic
1556C2×C3#348611yescharacteristic
1557C2×C3#352011yescharacteristic
1558C2×C3#353511yescharacteristic
1559C2×C3#354111yescharacteristic
1560D3—42no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—416no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—62no—
1590C22—62no—
1591C22—62no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22#566014yescomplemented
1597C22C22×D3×D411yescharacteristic
1598C22C2×#100411yescharacteristic
1599C22C2×D3×#4111yescharacteristic
1600C22C2×#101011yescharacteristic
1601C22C2×#101011yescharacteristic
1602C22D3×H(5,𝔽2)11yescharacteristic
1603C22#596611yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—62no—
1616C4—62no—
1617C4—62no—
1618C4—62no—
1619C4—62no—
1620C4—62no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C3#3772111yescharacteristic, complemented, Sylow
1631C2—24no—
1632C2—42no—
1633C2—42no—
1634C2—81no—
1635C2—122no—
1636C2C2×#566011yescharacteristic
1637C2#8602211yescharacteristic
1638C2#8639911yescharacteristic
1639C2#8662011yescharacteristic
1640C2#8662611yescharacteristic
1641C2#8664611yescharacteristic
1642C2#8679811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2418C2
prime radical#82586C2
hypercenter#2418D3
hypocenterC3#37721
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2418

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#5660C2semidirect
2. C22×#878C2semidirect
3. C3×#2418C2semidirect
4. #82871C2semidirect
5. #82602C2semidirect
7. #82349C2semidirect
8. #82340C2semidirect
9. #82128C2semidirect
10. #78104C2semidirect
11. #78068C2semidirect
12. #77571C2semidirect
13. #77546C2semidirect
14. #77017C2semidirect
15. #77005C2semidirect
16. #76998C2semidirect
17. #76954C2semidirect
18. #75705C2semidirect
19. #75670C2semidirect
20. #75599C2semidirect
21. #75463C2semidirect
22. #74900C2semidirect
23. #74830C2semidirect
24. #74737C2semidirect
25. #74702C2semidirect
26. #74443C2semidirect
27. #74405C2semidirect
28. #74010C2semidirect
29. #73908C2semidirect
30. #73831C2semidirect
31. #73818C2semidirect
46. C2×C4×#67C22semidirect
48. C2×#924C22semidirect
49. C2×#924C22semidirect
53. C2×#896C22semidirect
54. C2×#896C22semidirect
55. C2×D3×C4⋊C4C22semidirect
56. C2×#890C22semidirect
57. C2×#889C22semidirect
59. C2×#883C22semidirect
65. C2×#879C22semidirect
98. #5210C22semidirect
99. #4989C22semidirect
100. #4987C22semidirect
101. #4983C22semidirect
102. #4982C22semidirect
103. #4982C22semidirect
104. #4981C22semidirect
105. #4979C22semidirect
106. #4979C22semidirect
107. #4979C22semidirect
108. #4979C22semidirect
109. #4978C22semidirect
110. #4976C22semidirect
111. #4975C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. #4972C22semidirect
117. #4959C22semidirect
121. #4957C22semidirect
125. #4953C22semidirect
131. #4951C22semidirect
135. #4949C22semidirect
138. #4948C22semidirect
139. #4947C22semidirect
140. #4947C22semidirect
151. #4945C22semidirect
154. #4944C22semidirect
162. #4940C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. #4929C22semidirect
165. #4929C22semidirect
166. #4675C22semidirect
167. #4673C22semidirect
168. #4673C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4661C22semidirect
173. #4660C22semidirect
174. #4660C22semidirect
175. #4659C22semidirect
176. #4658C22semidirect
177. #4657C22semidirect
178. #4657C22semidirect
179. #4655C22semidirect
180. #4655C22semidirect
181. #4654C22semidirect
182. #4653C22semidirect
183. #4652C22semidirect
184. #4652C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
214. #2418D3semidirect
381. #878D4semidirect
1362. C22×C3#539semidirect
1596. C22#5660semidirect
1630. C3#37721semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#56602
C22×#8782
C3×#24182
#828712
#826022
#825862
#823492
#823402
#821282
#781042
#780682
#775712
#775462
#770172
#770052
#769982
#769542
#757052
#756702
#755992
#754632
#749002
#748302
#747372
#747022
#744432
#744052
#740102
#739082
#738312
#738182
#377213